Numbers /8,191
How rare is 8,191?
8,191 scores 827 and sits in the Singular tier — 1 in 6,410 of all supported numbers score this high or higher. Everything below is computed from a complete analysis of all 1,000,001 numbers in range.
RNGdle.net’s own rarity score. Top 0.02% means that proportion of supported numbers scores at least this high. Every exact number has the same chance of being rolled. How this differs from EP · Badge guide
These notes make the number easy to read, but they add no score unless a separately counted rarity signal appears below.
Equal to 2^k − 1, so its binary form is all ones.
Representation · signal frequency
One of 9,000 four-digit numbers in range.
Range · signal frequency
This number's digits add up to an uncommon total.
Arithmetic · signal frequency
Divisible only by 1 and itself.
Factorization · signal frequency
This number uses an uncommon count of distinct digits.
Repetition · signal frequency
Its binary form reads the same both ways.
Representation · signal frequency
Every comparison strictly alternates between rising and falling.
Sequence · signal frequency
Exactly one digit appears twice.
Repetition · signal frequency
Strongest signal: All ones in binary. It appears in 18 supported numbers and contributes +315 after correlation decay.
Why is 8,191 unusual? Only 0.02% of the 1,000,001 supported numbers receive an equal or higher rarity score. This number falls in the Singular tier. Scoring is grounded in the exact frequency of each detected trait — rarer traits carry more information and contribute more to the score.
Algorithm version 1.1.0
Patterns in this number
Each of these has its own page explaining how common the pattern is and why.
Numbers With One Repeated Digit
The mildest form of repetition: exactly one digit appears twice, and every other digit is distinct — as in 1231 or 405067.
Zigzag Digit Numbers
Every comparison changes direction: up, down, up, down — or the reverse. In 792619 the path is 7 < 9 > 2 < 6 > 1 < 9.
Prime Numbers
A prime has no divisors other than 1 and itself. They are the building blocks every other number is assembled from.
Binary Palindromes
Written in base two, these numbers read the same forwards and backwards. 9 is 1001, and 585 is 1001001001.
Binary Repunits
These are the numbers one short of a power of two — 3, 7, 15, 31, 63, 1023 — whose binary form is nothing but ones.